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Finding the Fourth Proportional to 170,624, 255,430.38 and 126,448.94

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Solution

The fourth proportional to 170,624, 255,430.38 and 126,448.94 is: 189,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,624 : 255,430.38 = 126,448.94 : x
  2. Step 2: Convert to fraction form
    170,624/255,430.38 = 126,448.94/x
  3. Step 3: Cross multiply
    170,624x = 255,430.38 × 126,448.94
  4. Step 4: Simplify right side
    170,624x = 32,298,900,794.80
  5. Step 5: Solve for x
    x = 32,298,900,794.80/170,624
  6. Step 6: Final answer
    x = 189,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.